Results 141 to 150 of about 2,218,762 (336)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we present a stable numerical scheme for solving two‐dimensional m$$ m $$‐component reaction–diffusion systems. The proposed approach utilizes the backward Euler method for temporal discretization and the hybridized discontinuous Galerkin (HDG) method for spatial discretization.
Shima Baharlouei +2 more
wiley +1 more source
Sharp decrease in the Laplacian matrix rank of phase-space graphs: a potential biomarker in epilepsy. [PDF]
Cogn Neurodyn, 2021 Yang Z, Fan D, Wang Q, Luan G.
europepmc +1 more source
Permanent of the Laplacian matrix of trees and bipartite graphs
Discrete Mathematics, 1984 AbstractLet G be a graph whose vertices have positive degrees d1, …, dn, respectively, and let L(G) be the Laplacian matrix of G. When G is a tree or a bipartite graph we obtain bounds for the permanent of L(G) both in terms of n only and in terms of d1, …, dn. Improved bounds are obtained in terms of the diameter of T and the size of a matching in T.
John L. Goldwasser, Richard A. Brualdi
openaire +2 more sources
Quantifying community keystoneness in metacommunities under disturbance
Oikos, EarlyView.Understanding how metacommunities respond to natural and anthropogenic disturbances is a key objective in ecology. In this study, we introduce an analytical framework to identify communities whose extirpation triggers stronger (hereafter keystone communities) or weaker (hereafter idle communities) cascading effects on extinction and colonization events
Gabriel Khattar, Pedro R. Peres-Neto
wiley +1 more source
On the sum of signless Laplacian spectra of graphs
Karpatsʹkì Matematičnì Publìkacìï, 2019 For a simple graph $G(V,E)$ with $n$ vertices, $m$ edges, vertex set $V(G)=\{v_1, v_2, \dots, v_n\}$ and edge set $E(G)=\{e_1, e_2,\dots, e_m\}$, the adjacency matrix $A=(a_{ij})$ of $G$ is a $(0, 1)$-square matrix of order $n$ whose $(i,j)$-entry is ...
S. Pirzada, H.A. Ganie, A.M. Alghamdi
doaj +1 more source
Advanced Quantum Technologies, EarlyView.The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
wiley +1 more source
On the Relation between the S-matrix and the Spectrum of the Interior Laplacian [PDF]
, 2009 А. Г. Рамм
openalex +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe +3 more
wiley +1 more source
Laplacians in polar matrix coordinates and radial fermionization in higher dimensions [PDF]
, 2011 Mthokozisi Masuku, J. P. Rodrigues
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Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley +1 more source